Exams › SSC CGL (Prelims) › General

A ladder reaches a window 10 metres high on a vertical wall. If the ladder is positioned at a $60^\circ$ angle to the ground, what is its length? (nearest whole number)

1. 10 m
2. 11 m
3. 12 m
4. 13 m

Correct answer: 12 m

Solution

The height 10 m is opposite the $60^\circ$ angle, and the ladder is the hypotenuse. So $\sin 60^\circ=\frac{10}{L}$, giving $L=\frac{10}{\sin 60^\circ}=\frac{20}{\sqrt{3}}\approx 11.55$, which rounds to 12 m.

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